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Advances in High Energy Physics
Volume 2014 (2014), Article ID 840907, 9 pages
Research Article

Scattering and Bound States of Duffin-Kemmer-Petiau Particles for -Parameter Hyperbolic Pöschl-Teller Potential

Department of Physics, Mersin University, 33143 Mersin, Turkey

Received 1 March 2014; Revised 13 June 2014; Accepted 29 June 2014; Published 14 July 2014

Academic Editor: Frank Filthaut

Copyright © 2014 Hilmi Yanar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


The Duffin-Kemmer-Petiau (DKP) equation in the presence of a scalar potential is solved in one spatial dimension for the vector -parameter Hyperbolic Pöschl-Teller ( HPT) potential. In obtaining complete solutions we used the weak interaction approach and took the scalar and vector potentials in a correlated form. By looking at the asymptotic behaviors of the solutions, we identify the bound and scattering states. We calculate transmission ( ) and reflection ( ) probability densities and analyze their dependence on the potential shape parameters. Also we investigate the dependence of energy eigenvalues of the bound states on the potential shape parameters.